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BN上的加权Bergman空间到加权Bloch空间的Volterra复合算子
引用本文:李海英,王翠,张相波,师光华.BN上的加权Bergman空间到加权Bloch空间的Volterra复合算子[J].河南师范大学学报(自然科学版),2011,39(6):19-21.
作者姓名:李海英  王翠  张相波  师光华
作者单位:河南师范大学数学与信息科学学院,河南新乡,453007
基金项目:河南省教育厅自然科学基金,河南省基础与前沿技术研究计划项目,河南师范大学校级青年骨干教师资助项目和培育基金
摘    要:设BN是CN上的单位球,φ是BN上的全纯自映射,g,f∈H(BN).Volterra复合算子定义为Tg,φf(z)=f10f((4)(tz)) (A)g(tz)dt/t,z∈BN.利用符号函数φ和映射g的函数论性质,研究了在单位球上从加权Bergmar空间到加权Bloch空间的Volterra复合算子的有界性和紧性.

关 键 词:加权Bergman空间  加权Bloch空间  Volterra复合算子  有界性  紧性

Volterra Composition Operators from Weighted Bergman Spaces to Weighted BIoch Spaces on the Unit Ball
LI Hai-ying,WANG Cui,ZHANG Xiang-bo,SHI Guang-hua.Volterra Composition Operators from Weighted Bergman Spaces to Weighted BIoch Spaces on the Unit Ball[J].Journal of Henan Normal University(Natural Science),2011,39(6):19-21.
Authors:LI Hai-ying  WANG Cui  ZHANG Xiang-bo  SHI Guang-hua
Institution:(College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China)
Abstract:Let BN be the open unit ball of CN, be a holomorphic self-map on BN and g,f∈H(BN).Volterra composition operator is defined as Tg,f(z)=∫10f(φ(tz))Rg(tz)dt/t,z∈BN.Using the function theory properties of symbol function  and map g,The research has studied the boundedness and compactness of Volterra composition operators from weighted Bergman spaces to weighted Bloch spaces on the unit ball.
Keywords:weighted Bergman space  weighted Bloch space  Volterra composition operator  boundedness  compactness
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